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Finding the Fourth Proportional to 9,577.32, 14,378.13 and 9,183.66

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Solution

The fourth proportional to 9,577.32, 14,378.13 and 9,183.66 is: 13,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.32 : 14,378.13 = 9,183.66 : x
  2. Step 2: Convert to fraction form
    9,577.32/14,378.13 = 9,183.66/x
  3. Step 3: Cross multiply
    9,577.32x = 14,378.13 × 9,183.66
  4. Step 4: Simplify right side
    9,577.32x = 132,043,857.36
  5. Step 5: Solve for x
    x = 132,043,857.36/9,577.32
  6. Step 6: Final answer
    x = 13,787.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.